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Masaki Kashiwara : ウィキペディア英語版 | Masaki Kashiwara
is a Japanese mathematician. He was a student of Mikio Sato at the University of Tokyo. Kashiwara made leading contributions towards algebraic analysis, microlocal analysis, D-module theory, Hodge theory, sheaf theory and representation theory.〔(【引用サイトリンク】author= Pierre Schapira )〕 Kashiwara and Sato established the foundations of the theory of systems of linear partial differential equations with analytic coefficients, introducing a cohomological approach that follows the spirit of Grothendieck theory of schemes. Bernstein introduced a similar approach in the polynomial coefficients case. Kashiwara's master thesis states the foundations of D-modules theory. His PhD thesis proves the rationality of the roots of b-functions (Bernstein-Sato polynomials), using D-module theory and resolution of singularities.〔 He is a member of the French Academy of Sciences and of the Japan Academy. == Concepts and Theorems named after Kashiwara ==
* Kashiwara constructibility theorem * Kashiwara index theorem * Kashiwara–Malgrange filtration (after Kashiwara and Bernard Malgrange) * Cauchy-Kowalevsky-Kashiwara theorem (after Kashiwara, Cauchy and Kovalevskaya ) * Kashiwara operators * Kashiwara crystal basis
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